Question

According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are...

According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. You randomly select six peanut M&M’s from an extra-large bag of the candies. (Round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.)

A. Compute the probability that exactly four of the six M&M’s are yellow.

B. Compute the probability that four or five of the six M&M’s are yellow.

C. Compute the probability that at most four of the six M&M’s are yellow.

D. Compute the probability that at least four of the six M&M’s are yellow.

Homework Answers

Answer #1

(a) Probability = 0.0055

(b) Probability = 0.0004

(c) Probability = 0.9996

(d) Probability = 0.0059

6 n
0.15 p
cumulative
X P(X) probability
0 0.3771 0.3771
1 0.3993 0.7765
2 0.1762 0.9527
3 0.0415 0.9941
4 0.0055 0.9996
5 0.0004 1.0000
6 0.0000 1.0000
1.0000
0.900 expected value
0.765 variance
0.875 standard deviation

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